-3(a-1)=-(a+1)

Solution for -3(a-1)=-(a+1) equation:

Simplifying
-3(a + -1) = -1(a + 1)

Reorder the terms:
-3(-1 + a) = -1(a + 1)
(-1 * -3 + a * -3) = -1(a + 1)
(3 + -3a) = -1(a + 1)

Reorder the terms:
3 + -3a = -1(1 + a)
3 + -3a = (1 * -1 + a * -1)
3 + -3a = (-1 + -1a)

Solving
3 + -3a = -1 + -1a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'a' to each side of the equation.
3 + -3a + a = -1 + -1a + a

Combine like terms: -3a + a = -2a
3 + -2a = -1 + -1a + a

Combine like terms: -1a + a = 0
3 + -2a = -1 + 0
3 + -2a = -1

Add '-3' to each side of the equation.
3 + -3 + -2a = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -2a = -1 + -3
-2a = -1 + -3

Combine like terms: -1 + -3 = -4
-2a = -4

Divide each side by '-2'.
a = 2

Simplifying
a = 2